We have the following mathematical model;

Z=40x+60y

2x+y

x+y

x+3y

Using the Simplex Table Method get the value of all the process parameters for getting the maximum value of Z.

Use pictures for reference of Simplex Table method

Simplex Table Algorithm Get the maximum of Z Z-13x+11y 4x+5y K-1500 5x+3y 1575 +2yk: 420 1 35 1/5 315 x 2 S1 S2 S3 Right side Upper-bound A 2 1 -13 -11 0 0 0 0 B S1 4 5 1 0 0 1500 375.000 C S1 3 1 0 1575 315.000 420 420.00 A 13 13 74/5 0 235 4095 B -4 o 22/5 0 4/5 0 1260 -5 0 -5 0 -1 0 -1575 D -1 0 -1 -3 0 -15 0 315 0 1 0 75 x 2 S1 S2 S3 Right-side Upper-bound A 1 0 0 235 0 4095 B S1 0 23/5 1 4/5 0 240 92.31 C 1 0 1 3/5 0 1/5 0 315 525.00 D S3 0 0 125 0 1/5 1 105 75.00 A 31/5 0 0 3 1/5 0 -12 227 240 -2 3/5 0 0 -2 3/5 0 3/8 -1, 6/7 -195 0 3/5 0 0 45 D -12/5 0 0 2 5 0 1 5 -1 -105 Simplex Table Algorithm Get the maximum of Z Z-13x+11y 4x+5y K-1500 5x+3y 1575 +2yk: 420 1 35 1/5 315 x 2 S1 S2 S3 Right side Upper-bound A 2 1 -13 -11 0 0 0 0 B S1 4 5 1 0 0 1500 375.000 C S1 3 1 0 1575 315.000 420 420.00 A 13 13 74/5 0 235 4095 B -4 o 22/5 0 4/5 0 1260 -5 0 -5 0 -1 0 -1575 D -1 0 -1 -3 0 -15 0 315 0 1 0 75 x 2 S1 S2 S3 Right-side Upper-bound A 1 0 0 235 0 4095 B S1 0 23/5 1 4/5 0 240 92.31 C 1 0 1 3/5 0 1/5 0 315 525.00 D S3 0 0 125 0 1/5 1 105 75.00 A 31/5 0 0 3 1/5 0 -12 227 240 -2 3/5 0 0 -2 3/5 0 3/8 -1, 6/7 -195 0 3/5 0 0 45 D -12/5 0 0 2 5 0 1 5 -1 -105